I voted "Maybe a little, but it is a good design choice" and I want to explain my vote.
Recently, I watched a couple of excerpts of "American Gods", and it occurred to me that a follower of Anansi would be a really interesting character. I really got behind the magical trickster and storyteller with spider motifs.
As I thought about the character, I felt that he would really need access to the thorn whip cantrip (refluffed as spider webbing), spider climb and web spells. This sent me to the PHB and Xanathar's.
Three choices fit the bill: Druid(Underdark), Wizard (Magic Initiate Druid) and Sorcerer (Magic Initiate Druid). I could make a follower of Anansi with any of the three. The Druid would probably be the closest, and has a lot of spells I could refluff to emphasize the spider motif (wild shaping into a spider, primal savagery, entangle with webs, conjure animals with spiders). If I took the Wizard, I would probably take the illusionist or enchanter subclass and emphasize the magical trickster aspect of the character, and if a Sorcerer, I would emphasize the storyteller aspect with my high Charisma and probably go Shadow Sorcerer to emphasize the dark aspect of the character.
I like the system being flexible enough that there are several ways of realizing a concept, but each character still playing very differently at the table.
All that being said, I agree with the posters that wizards that can cast from every school of magic is both a missed opportunity and feels really unfair to sorcerers.